Circuit and method for finding the sampling phase and canceling precursor intersymbol interference in a decision feedback equalized receiver

ABSTRACT

A circuit determines a sampling phase of a sampling clock of an analog-to-digital converter in a receiver of a communication system. The apparatus adjusts the sampling clock of an analog-to-digital converter in a receiver of a communication system based on the determined sampling phase of the sampling clock to remove a first intersymbol interference from a signal received by the receiver. An open loop filter removes any remaining intersymbol interference from the received signal. This is to insure that the receiver within a communication system that the adaptive equalization necessary to eliminate precursor and postcursor intersymbol interference is decoupled and independent.

BACKGROUND OF THE INVENTION

1. Field of the Invention

This invention is generally related to receivers in a communication system. More particularly, this invention is related to removal of precursor intersymbol interference from encoded signals received on a communication channel.

2. Description of the Related Art

In digital communication systems such as the popular Fast Ethernet, digital data is formatted to a pulsed multilevel voltage signal to be transferred through a communication channel such as common telephone wire, fiberoptic cable or open atmosphere. It is well known in the art that as the pulsed multilevel voltage signal transits the communication channel, the communication channel acts as a low pass filter and that the pulsed multilevel voltage signal becomes a continuous time signal. The low pass filter spreads or smears the shape of the input pulsed multilevel voltage signal to form the continuous time signal.

The operation can be described mathematically by the convolution of the function of the pulsed multilevel voltage signal x(t−τ) by a continuous time channel response h(t). That is

$\begin{matrix} \begin{matrix} {{\quad\quad}{\quad{{r(t)} = {\int_{- \infty}^{+ \infty}{{h(\tau)}{x\left( {t - \tau} \right)}\ {\mathbb{d}t}}}}}} \\ {= {\int_{- \infty}^{+ \infty}{{x(\tau)}{h\left( {t - \tau} \right)}\ {\mathbb{d}t}}}} \end{matrix} & {{EQ}.\mspace{14mu} 1} \end{matrix}$

-   -   where:         -   r(f) is the received continuous time signal,         -   h(t) is the channel response         -   x(t) is the pulsed multilevel voltage signal.             The second half of the formula is a result of the fact that             convolution is a commutative process.

The pulsed multilevel voltage signal is expressed as the function x(t)=0 for t≠T x(t)=X _(k)δ(t−kT) for t=kT

-   -   where:         -   T is the period of a symbol of the encoded digital data,         -   k is a counting variable representing integral periods of             the symbols,         -   X_(K) is the voltage level of the pulsed multiple level             voltage signal a the time kT.             As is known in the art, the significant values in the             integration occur where             τ=KT             Therefore, the integration of Eq. 1 can be rewritten as:

$\begin{matrix} {{r(t)} = {\sum\limits_{- \infty}^{\infty}{x_{k}{h\left( {t - {kT}} \right)}}}} & {{EQ}.\mspace{14mu} 2} \end{matrix}$ EQ. 2, as written, still represents a continuous time system rather than the discrete time system employed in most digital communication systems. In pulse amplitude modulated systems, such as Ethernet, the sampling rate of the discrete time system is at the symbol transmit rate

$\left( \frac{1}{T} \right)$ and therefore can be written as:

$\begin{matrix} {{r\left( {n\; t} \right)} = {\sum\limits_{- \infty}^{\infty}{x_{k}{h\left( {{nT} - {kT}} \right)}}}} & {{EQ}.\mspace{20mu} 3} \end{matrix}$ This can be rewritten as:

$\begin{matrix} {{r({nT})} = {\sum\limits_{- \infty}^{N}{x_{k}{h\left( {{nT} - {kT}} \right)}}}} & {{EQ}.\mspace{14mu} 4} \end{matrix}$

Since the sampling clock of a receiver generally is not perfectly aligned with the clock of the transmitter of the communication system, the sampling phase offset will be non-zero. To account for the arbitrary phase offset, EQ. 4 is rewritten to add an offset time to the time index. EQ. 4 is now written as:

$\begin{matrix} {{r\left( {{nT} + t_{0}} \right)} = {\sum\limits_{- \infty}^{N}{x_{k}{h\left( {t_{0} + {nT} - {kT}} \right)}}}} & {{EQ}.\mspace{14mu} 5} \end{matrix}$ The first term of EQ. 5 is the component of the received signal of the nth symbol. The remaining terms in the summation are intersymbol interference (ISI) terms, previous symbols (postcursor intersymbol interference) and subsequent symbols (precursor intersymbol interference).

Refer now to FIG. 1 a to discuss a typical communication system. The digital data is scrambled, encoded and formed into a symbol that forms the pulsed multilevel voltage signal a_(i) 5. The pulsed multilevel voltage signal a_(i) 5 is transferred to the communication channel 10. The communication channel 10, as described above, has the impulse response h(t) and acts as a low pass filter to distort the pulsed multilevel voltage signal a_(i) 5. The communication channel 10 includes the driver circuitry, receiver circuitry and the connecting transmission medium. FIG. 1 b is a plot of the magnitude of the received pulsed multilevel voltage signal a_(irec) 12 versus frequency. As is shown, the frequency content of the received pulsed multilevel voltage signal a_(irec) 12 contains the frequencies of the previous and subsequent symbols of the received pulsed multilevel voltage signal a_(irec) 12. To demonstrate the frequencies EQ. 5 is reorganized with the magnitude of the pulsed multilevel voltage signal a_(i) 5 included as follows: a _(irec) =a _(i+1) f ⁻¹ +a _(i) f ₀ +a _(i−1) f ₊₁+ . . . EQ. 6

The output of communication channel 10 is the input to an analog-to-digital converter (ADC) 15. The analog-to-digital converter 15 samples the received signal from the communication channel to create the sampled digitized version h_(k) 25 of the received signal. The sampled digitized version h_(k) 25 of the received signal contains the precursor and postcursor intersymbol interference described above. Removal of the precursor intersymbol interference is accomplished by the feed forward filter 30. The decision feedback filter 70 accomplishes the removal of the postcursor intersymbol interference (a_(i−1)f₊₁+ . . . of EQ. 6).

The feed forward filter 30 consists of multiple delay elements 35 a, 35 b, 35 c and 35 d that are serially connected output to input. The input of the first delay element is connected to the analog-to-digital converter 15 to receive the sampled digitized received signal h_(k) 25. Each delay element 35 a, 35 b, 35 c and 35 d delays the sampled digitized received signal h_(k) by the amount of time of the period of the sampling clock of the analog-to-digital converter 15. The outputs of the analog-to-digital converter 15 and the delay elements 35 a, 35 b, 35 c and 35 d respectively are connected to the multiplier circuits 40 a, 40 b, 40 c, 40 d and 40 e. Each delayed version of the sampled digitized received signals is multiplied by one of the filter coefficients w_(x), 45 a, 45 b, 45 c, 45 d and 45 e. The output of each of the multiplier circuits 40 a, 40 b, 40 c, 40 d and 40 e are connected to the combining circuits 50 a, 50 b, 50 c and 50 d. The combining circuits 50 a, 50 b, 50 c and 50 d additively combine the resulting products from the multiplier circuits 40 a, 40 b, 40 c, 40 d and 40 e to form the sampled digitized signal f_(k) 55 having the precursor intersymbol interference removed.

The filter coefficients w_(x), 45 a, 45 b, 45 c, 45 d and 45 e normally are chosen as a function of an error signal e_(k) determined as the difference of the estimated value â_(i) 95 of pulsed multilevel voltage signal a_(i) 5 and the sampled digitized signal g_(i) 62 having the total intersymbol interference removed. That is: e _(k)=(g _(i) −â _(k))

The sampled and digitized signal f_(k) 55 having the precursor intersymbol interference removed and the output of feedback filter 70, which is the calculated postcursor intersymbol interference, are subtractively combined in the combining circuit 60. The output of the combining circuit 60 is the input to the decision circuit 65. The decision circuit 65 determines the received estimate â_(i) 95 of the pulsed multilevel voltage signal a_(i). The received estimate as 95 is the input of the feedback filter 70. The feedback filter 70 has multiple delay elements 75 a, 75 b, and 75 c that are serially connected to delay the received estimate a_(i) 95 by a time equal to the period of the sampling clock of the analog-to-digital converter 15. The outputs of the delay elements 75 a, 75 b, and 75 c are the inputs to the multiplier circuits 80 a, 80 b, and 80 c. The multiplier circuits multiply the delayed received estimates â_(i) by the filter coefficients f_(x) 80 a, 80 b, and 80 c. The products of the multiplier circuits 75 a, 75 b, and 75 c are additively combined in the combining circuit 90 to form the estimate of the postcursor intersymbol interference to be removed from the received, sampled and digitized pulsed multilevel voltage signal f_(k) 55.

The filter coefficients f_(x) 85 a, 85 b, and 85 c are adaptively chosen by tracking the error signal e_(k) that is determined as the difference of the estimated value â_(i) 95 of pulsed multilevel voltage signal a_(i) 5 and the sampled digitized signal g_(i) 62, which is the output of the combining circuit 60.

In EQ. 5, it is apparent that the sampling phase offset contributes to the magnitude of the precursor and postcursor intersymbol interference. The better aligned the sampling clock and the transmit clock, the less intersymbol interference in the sampled digitized version of the received signal h_(k) 25. The timing phase adjustment signal φ_(samp) 20 is used to adjust the sampling position within the period of the pulsed multilevel voltage signal a_(i). A clock extraction circuit and a phase-locked loop generally establish the timing of the sampling clock of the ADC. Thus, the sampling phase, the filter coefficients w_(x) 40 a, 40 b, 40 c, 40 d, and 40 e, and the filter coefficients f_(x) 85 a, 85 b, and 85 c are interdependent in fully adaptive systems. It is desirable to uncouple the sampling phase and the filer coefficients w_(x) 40 a, 40 b, 40 c, 40 d and 40 e to find the best combinations of values and to improve stability.

In magnetic recording media, the nonlinear effects in the write process appear in the readback waveform as shifts in the peak positions and changes in the amplitude. The pulse shift causes a nonlinear intersymbol interference (ISI) on the readback signal. “Adaptive Nonlinear Decision Feedback Equalization With Channel Estimation And Timing Recovery In Digital Magnetic Recording Systems” (Lin et al.), IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Volume: 42 3, IEEE, pp. 196–206 describes a Volterra-DFE, in which a Volterra filter is used in the feedback section of decision feedback structure to equalize the nonlinear ISI.

U.S. Pat. No. 5,159,291 (Ghoshal) discloses a digitally controlled timing recovery loop with low intrinsic jitter and high jitter tolerance. The timing recovery loop has a triple loop structure for improved jitter tolerance and bandwidth control.

U.S. Pat. No. 5,430,661 (Fisher, et al.) teaches an adaptive decision feedback equalizer. The adaptive decision feedback equalizer operates in either a set-up/test mode or a run mode. The read signals input from a storage media are sampled, amplified and digitally processed to decode store information bits with the result that storage density may be increased and error rate decreased.

U.S. Pat. No. 5,822,143 (Cloke, et al.) describes a partial-response maximum-likelihood (PRML) sequence detector with decision feedback equalization (DFE) for a disk drive read channel. A DFE circuit generates a sequence of equalized samples and includes a feed forward filter that removes precursor ISI from the sequence of sample signal to produce a sequence of feed-forward equalized samples, detection logic that translates the sequence of equalized samples into a sequence of detected symbols and a feedback filter that filters the sequence of detected symbols to produce a sequence of equalization feedback values to offset postcursor ISI remaining in the sequence of feed-forward equalized samples.

SUMMARY OF THE INVENTION

An object of this invention is providing an apparatus to determine a sampling phase of a sampling clock of an analog-to-digital converter in a receiver of a communication system.

Another object of this invention is to adjust the sampling clock of an analog-to-digital converter in a receiver of a communication system based on the determined sampling phase of the sampling clock to remove a first intersymbol interference from a signal received by the receiver.

Further, another object of this invention is to provide an open loop filter to remove any remaining intersymbol interference from the received signal.

And still further, another object of this invention is to provide a receiver within a communication system where the adaptive equalization necessary to eliminate precursor and postcursor intersymbol interference is decoupled and independent.

To accomplish these and other objects a circuit for canceling precursor intersymbol interference from a signal within a communication receiver has an adaptive timing loop circuit, which adjusts a timing phase of a sampling clock of an analog-to-digital converter within the communication receiver. The adjustment of the timing phase of the sampling clock removes a first precursor intersymbol interference from the signal. The circuit additionally has an open loop finite impulse response filter, which is connected to the output of the analog-to-digital converter. A coefficient of the open loop finite impulse response filter is determined by a gain mapping of a condition measurement of the communication receiver to cancel all precursor intersymbol interference beyond the first precursor intersymbol interference.

The adaptive timing loop circuit includes a first delay element connected within the communication receiver to acquire an error signal and to delay the error signal by one sampling period of the sampling clock. The error signal is a difference between an estimate of the transmitted data and an equalized version of received data indicative of an amount of the first precursor intersymbol interference. The adaptive timing loop additionally includes a first multiplier circuit connected within the communication receiver to receive the estimate of the transmitted data and to the first delay element to multiply a magnitude of the estimate of the transmitted data by a magnitude of the error signal to produce a first product. A second multiplier circuit is connected to receive a loop gain control constant and to the first multiplier to receive the first product. The second multiplier multiplies the loop gain control constant by the first product to form a second product. A combining circuit is connected to the second multiplier circuit and to an output of the adaptive timing loop circuit to subtractively combine the second product with a current timing phase adjustment signal to form a next timing phase adjustment signal. A second delay element delays the next timing phase adjustment signal to adjust the timing phase of a next sampling clock pulse.

The timing phase adjustment can be expressed by the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1))

-   -   where:         -   φsampn+1 is the timing phase adjustment signal for the next             sample h_(n+1) from the analog-to-digital converter 15,         -   φ_(sampn) is the timing phase adjustment signal for the             current sample h_(n) 25 from the analog-to-digital converter             15,         -   μ_(t) is the control constant,         -   e_(i−1) is the error signal for the previous sample.

The open loop finite impulse response filter includes a feed forward filter connected to the analog-to-digital converter to receive a sampled digital form of a received signal. The feed forward filter has a third delay element connected to the analog-to-digital converter to delay the sampled digital form of the received signal by one sampling period, a third multiplier circuit connected to the analog-to-digital converter to multiply the sampled digital form of the received signal by a filter coefficient to form a third product, and a third combining circuit to combine the delayed sampled digital form of the received signal with the third product to form a preliminary equalized signal. The open loop finite impulse response filter additionally has a fourth multiplier circuit connected to the feed forward filter to multiply the preliminary equalized signal by a constant gain factor to produce a signal having the intersymbol interference removed. A gain setting circuit is connected to the fourth multiplier circuit to generate the constant gain factor as a function of receiver condition, and a gain mapping circuit is connected to the third multiplier circuit and the gain setting circuit to provide the filter coefficient as a function of the constant gain factor.

The open loop finite impulse response filter generates its output signal according to the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w ⁻¹)

-   -   where:         -   f_(k) is the digitized and sampled pulsed multilevel voltage             signal.         -   A_(v) is the gain constant of the gain block 140.         -   h_(k) is the present sampled and digitized received pulsed             multilevel voltage signal.         -   h_(k+1) is the next sampled and digitized received pulsed             multilevel voltage signal.         -   w⁻¹ is the filter coefficient mapped from the gain constant             A_(v) of the gain block 140.

The gain setting circuit establishes the gain constant factor according to the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k)

-   -   where:         -   G_(k) is the current value of the gain constant factor at             the output of the gain setting circuit.         -   G_(k−1) is the previous value of the constant factor at the             output of the gain setting circuit.         -   μ_(FF) is a small positive constant.         -   f_(k) is digitized and sampled pulsed multilevel voltage             signal.         -   e_(i) is the error signal indicating the condition of the             communication channel and is a difference between an             estimate of the transmitted data and an equalized version of             received data indicative of an amount of the first precursor             intersymbol interference.

To execute to the above formula the gain setting circuit has a fifth multiplier circuit to multiply the error signal, the preliminary equalized signal, and a gain constant to produce a fourth product. The gain constant must be sufficiently small to insure stability of the gain setting circuit and sufficiently large so as to track variations in the condition measurement. The gain setting circuit further has a fourth delay element to delay a present constant gain factor by a sampling time of the sampling clock. A fourth combining circuit subtractively combines a previous constant gain factor with the fourth product to generate a present constant gain factor.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 a is a schematic diagram of a communication channel and receiver of the prior art.

FIG. 1 b is a plot of the gain versus frequency of the communication channel of the prior art as shown in FIG. 1 a.

FIG. 2 is an eye diagram of the pulsed multilevel voltage signal having transited the communication channel and at the input of the receiver compared to the positioning of the sampling clock.

FIG. 3 is a block diagram of a communication channel and receiver of this invention.

FIG. 4 a is a schematic diagram of one embodiment of an open loop feed forward equalizer of this invention.

FIG. 4 b is a schematic diagram of a second embodiment of an open loop feed forward equalizer of this invention.

FIG. 5 is a schematic diagram of an adaptive timing loop of this invention.

FIGS. 6 a–6 c are flowcharts outlining the method for canceling precursor intersymbol interference from an encoded signal.

DETAILED DESCRIPTION OF THE INVENTION

Refer now to FIG. 2 for a discussion of the impact of the sampling timing phase on the accuracy of the received estimate â_(i) of the pulsed multilevel voltage signal a_(i). The plot of FIG. 2 is of the pulsed multilevel voltage signal a_(irec) 12 after having transited the communication channel 10 and at the input of the analog-to-digital converter 15. It is apparent that the low pass filter characteristics of the communication channel have “smeared” the transitions between samples of pulsed multilevel voltage signal a_(irec) 12. If the sampling clock CLK_(samp) is placed incorrectly in the period, the effects of the adjacent signals impact the accuracy of the received signal. The timing phase adjustment signal φ_(samp) must adjust the timing clock CLK_(samp) to insure a minimum of intersymbol interference.

Refer now to FIG. 3 to discuss the structure of the apparatus that is to remove the precursor intersymbol interference from the received pulsed multilevel voltage signal a_(irec) 12. As described above, the digital data is encoded and formatted to form the pulsed multilevel voltage signal a_(i) 5. The pulsed multilevel voltage signal a_(i) 5 is transferred to the communication channel 10. The received pulsed multilevel voltage signal a_(irec) 12 is the input to the analog-to-digital converter 15.

The phase sampling adjustment signal φ_(samp) 20 signals the adjustment necessary for the timing phase of the sampling clock of analog-to-digital converter 15 versus the clock of the transmitter (not shown). The output of the analog-to-digital converter 15, which is the sampled and digitized received pulsed multilevel voltage signal h_(k) 25, is the input to the feed forward filter 130. The feed forward filter 130 is an open loop finite impulse response filter in which its filter coefficients are derived from a gain-to-coefficient map 145 connected to the feed forward filter 130.

The gain block 140 is an input of the gain-to-coefficient mapping circuit 145. The gain of the gain block 140 provides an indication of the condition of the communication channel 10.

The gain of the gain block 140 establishes an adaptive gain loop. The adaptive gain loop that is a function of the error signal e_(i) 155 and the digitized and sampled pulsed multilevel voltage signal f_(k) 55. The combining circuit 160 generates the error signal e_(i) 155. The combining circuit subtractively combines the digitized sampled pulsed multilevel voltage signal g_(i) 62 having the precursor and postcursor intersymbol interference removed with the estimated pulsed multilevel voltage signal â_(i) to form the error signal e_(i). The output G_(k) 142 of the gain block 140 is an indication of the condition of the communication channel 10.

The output G_(k) 142 of the gain block 140 is determined by the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k)  EQ. 7

-   -   where:         -   G_(k) is the current value of the gain constant at the             output of the gain block 140.         -   G_(k−1) is the previous value of the gain constant at the             output of the gain block 140.         -   μ_(FF) is a small positive constant.         -   f_(k) 55 is digitized and sampled pulsed multilevel voltage             signal.         -   e_(i) is the error signal indicating the condition of the             communication channel 10.             The small positive constant μ_(FF) 420 is small enough to             make the gain loop stable, but large enough to track slowly             varying changes in the gain of the communication channel.

The gain-to-coefficient mapping block 145 has an initial value of gain constant for the gain block 140 and an initial value of filter coefficients for the feed forward filter 130. If the initial values of the gain constant G_(k) 142 of the gain block 140 and the coefficients for the feed forward filter 130 are not sufficient to cancel the intersymbol interference then the adaptive gain loop will increment the gain constant G_(k) 142 by some reasonable but arbitrary value. The filter coefficients of the feed forward filter 130 are found according to the formula: w _(xnew) =w _(xold) +k*INC _(gain)  EQ. 8

-   -   where:         -   w_(xnew) is the new value of the filter coefficient of the             feed forward filter 130.         -   w_(xold) is the present value of the filter coefficient of             the feed forward filter 130.         -   INC_(gain) is the incremental change of the gain constant             made by the adaptive gain loop to incorrect removal of the             intersymbol interference.         -   k is a constant chosen by experience and testing or channel             characterization. For example, the value of k is chosen to             be 1/64 for 100BASE-T Ethernet systems using Cat-5             unshielded twisted pair cabling.

The output of the feed forward filter 130 is the input to the multiplier circuit 135. The second input of the multiplier circuit is the gain constant that is the output of the gain block 140. The multiplier circuit 135 has an output that is the product of the output of the feed forward filter 130 and the gain constant to form the digitized and sampled pulsed multilevel voltage signal f_(k) 55 having the precursor intersymbol interference removed. The digitized and sampled pulsed multilevel voltage signal f_(k) 55 is determined by the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w⁻¹)  EQ. 9

-   -   where:         -   f_(k) is the digitized and sampled pulsed multilevel voltage             signal.         -   A_(v) is the gain constant of the gain block 140.         -   h_(k) is the present sampled and digitized received pulsed             multilevel voltage signal.         -   h_(k+1) is the next sampled and digitized received pulsed             multilevel voltage signal.         -   w⁻¹ is the filter coefficient mapped from the gain constant             A_(v) of the gain block 140.

The removal of a first precursor intersymbol interference is accomplished with appropriate selection of the timing phase of EQ. 5. This is controlled by the timing phase adjustment signal φ_(samp) 20.

The ADC, as is known in the art, is sampled at a critical edge of a sampling clock generated by a voltage-controlled oscillator (considered integral to the analog-to-digital converter 10 for this example). The timing phase adjustment signal φ_(samp) 20 is an input to the voltage controlled oscillator to adjust the placement of the critical edge of the sampling clock to appropriately set the timing phase to eliminate the first precursor intersymbol interference.

The output of the adaptive timing loop circuit 150 is the timing phase adjustment signal φ_(samp) 20. The inputs to the adaptive timing loop circuit 150 are the estimate of the pulsed multilevel voltage signal â_(i) 95, the error signal e_(i) 155 and the control constant μ_(t) 165.

The control constant μ_(t) 165 is a small constant chosen to meet the requirements of a specific application. The control constant μ_(t) 165 should be small enough such that it can keep the timing loop stable and the gradient of the actual noise generated by the adaptive loop small. However, it should be large enough such that the timing loop can keep track of the slow timing variance of the communication channel 10.

The adaptive timing loop executes the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1))

-   -   where:         -   φ_(sampn+1) is the timing phase adjustment signal for the             next sample h_(n+1) 25 from the analog-to-digital converter             15,         -   φ_(sampn) is the timing phase adjustment signal for the             current sample h_(n) 25 from the analog-to-digital converter             15,         -   μ_(t) is the control constant.         -   e_(i−1) is the error signal for the previous sample.

From EQ 6., it can be seen that the components of the feed forward filter 130 with the gain-to-coefficient mapping block 145, and the gain block 140, as described above, eliminate the post cursor intersymbol interference components (a_(i−1)f₊₁+ . . . ). EQ. 6 can thus be reduced to the equation: y _(i) =a _(i+1) f ⁻¹ +a _(i) f ₀ The error signal e_(i) 155 is then only the precursor intersymbol interference component a_(i+1) f ⁻¹. If that frequency component is successfully nulled by appropriate selection of the timing sampling phase φ_(samp) 20, then the precursor intersymbol interference is removed. To extract the timing information, the sign of the frequency component f⁻¹ indicates whether the timing sampling phase φ_(samp) is before or after the zero crossing point −ZC of FIG. 1 b. To determine the sign of the frequency component f⁻¹, the error signal is multiplied by the estimate of the pulsed multilevel voltage signal â_(i) 95. The sign of this multiplication is only the sign of the frequency component f⁻¹. That is since e _(i) =â _(i+1) f ⁻¹ then â _(i+1) e _(i)=(â _(i+1))² f−1. As can be seen from the above equation, this provides an adaptive adjustment to the timing phase adjustment signal to minimize the precursor interference.

The adaptive timing loop adjusts the timing phase such that it is at the zero decibel (dB) crossing of the frequency response of the communication channel 10. This is the position where the precursor noise is approaching a zero level. The error signal e_(i−1), is essentially the precursor intersymbol interference, once the post cursor intersymbol interference has been removed. Therefore the multiplication of the error signal e_(i−1) by the estimated value of the estimated pulsed multilevel voltage signal â_(i) gives an estimate of the sign of the value of the frequency component f_(i−1)−of the precursor interference. This allows the timing of the information to be extracted to indicate the offset of the timing phase (the sign frequency component f_(i−1) of the precursor interference) determines the correction required in the timing phase adjustment signal φ_(sampn) of the sampling clock.

The digitized and sampled pulsed multilevel voltage signal f_(x) is the input to the combining circuit 60. The second input of the combining circuit 60, as described in FIG. 1, is the output of the feedback filter 70. The combining circuit 60 subtractively combines the output of the digitized and sampled pulsed multilevel voltage signal f_(k) having the precursor intersymbol interference removed with the output of the feedback filter 70 to generate the digitized and sampled pulsed multilevel voltage signal g_(i) 62 having all intersymbol interference removed.

The output g_(i) 62 of the combining circuit 60 is the input of the decision circuit 65. The decision circuit 65 generates the estimated pulsed multilevel voltage signal â_(i) 95. The estimated pulsed multilevel voltage signal â_(i) 95 is transferred to an external circuit for decoding and error correction to recreate the transmitted digital data.

The estimated pulsed multilevel voltage signal â_(i) 95 is the input to the feedback filter 70. The feedback filter 70, as describes in FIG. 1, generates a representative form of the postcursor intersymbol interference that is to be subtracted from the digitized and sampled pulsed multilevel voltage signal f_(k).

Refer now to FIGS. 4 a and 4 b to discuss the structure of the open loop feed forward filter 130 of FIG. 3. FIG. 4 a shows the open loop feed forward filter 130 having one tap to remove any of the precursor intersymbol interference from the digitized and sampled pulsed multilevel voltage signal h_(k) 25. The feed forward filter 130 consists of a first delay element 200 that delays the digitized and sampled pulsed multilevel voltage signal h_(k) 25 by the time period equal to the period of the feed forward filter of the analog-to-digital converter 15.

The digitized and sampled pulsed multilevel voltage signal h_(k) 25 is the first input to the multiplier circuit 205. The second input to the multiplier circuit 205 is the filter coefficient W⁻¹ 147. The output of the multiplier circuit 205 is the product of the digitized and sampled pulsed multilevel voltage signal h_(k) 25 and the filter coefficient W⁻¹ 147.

The output of the delay element 200 and the output of the multiplier circuit 205 are the inputs of the combining circuit 210. The output of the combining circuit 210 is the additive combination of the delayed version of the digitized and sampled pulsed multilevel voltage signal H_(k−1) and the product of the digitized and sampled pulsed multilevel voltage signal h_(k) 25 and the filter coefficient W⁻¹ 147. The output of the combining circuit 210 is the output of the feed forward filter 130 and is connected, as described above, to the multiplier circuit 135. The output of the combining circuit 210 is multiplied by the gain constant G_(k) 142 in the multiplier circuit 135 to generate the digitized and sampled pulsed multilevel voltage signal f_(k) 55 that has the precursor intersymbol interference removed.

The gain block 140 has two multiplier circuits 400 and 405 that multiply the error signal e_(i) 155, the feed forward constant μ_(FF) 420, and the digitized and sampled pulsed multilevel voltage signal f_(k) 55 to produce the indication of the condition of the communication channel 10.

The delay element 415 is connected to the output of the gain block 140 and delays the present value of the gain constant G_(k) 142 by one sampling of the received signal a_(irec). The delayed version of the gain constant G_(k−1) 143 is subtractively combined in the combining block 410 to form the gain constant G_(k) 142 for the next sampling of the received signal a_(irec).

An alternative embodiment, as shown in FIG. 4 b, illustrates a feed forward filter 230 having multiple taps or filter coefficients. In this case, the first tap of the feed forward filter 230 is the open loop feed forward filter 130 of FIG. 3, as described in FIG. 4 a and incorporates the multiplier circuit 135 of FIG. 3. The remaining taps 270 of the feed forward filter 230 are adaptive loops as shown in FIG. 1. The output f₁ 237 of the multiplier circuit 235 is the digitized and sampled pulsed multilevel voltage signal having most precursor symbols of the precursor intersymbol interference removed. Any residual precursor symbols of the precursor intersymbol interference is removed by the remaining taps 270 of the feed forward filter 230.

The remaining taps 270 of the feed forward filter 230 consist of multiple delay elements 250 a, 250 b, and 250 c that are serially connected output to input. The input of the first delay element is connected to the output f_(i) 237 of the multiplier circuit 235.

Each delay element 250 a, 250 b, and 250 c delays the output f_(i) 237 of the multiplier circuit 235 by the amount of time of the period of the sampling clock of the analog-to-digital converter 15. The outputs of the delay elements 250 a, 250 b, and 250 c respectively are connected to the multiplier circuit 255 a, 255 b, and 255 c. Each delayed version of the output f_(i) 237 of the multiplier circuit 235 is multiplied by one of the filter coefficients w_(x) 260 a, 260 b, and 260 c.

The output of each of the multiplier circuits 255 a, 255 b, and 255 c are connected to the combining circuits 265 a, 265 b, and 265 c. The combining circuits 265 a, 265 b, and 265 c additively combine the resulting products from the multiplier circuits 255 a, 255 b, and 255 c with the output f₁ 237 of the multiplier circuit 235 to form the sampled digitized signal f_(k) 55 having the precursor intersymbol interference.

The filter coefficients normally are chosen as a function of an error signal determined as the difference of the estimate value â_(i) 95 of the pulsed multilevel voltage signal a_(i) 5 and the sampled digitized signal f_(k) 55 having the precursor intersymbol interference removed.

Refer now to FIG. 5. to discuss the structure of the adaptive timing loop 150 of FIG. 3. As described above, the error signal e_(i) 155, the estimate â_(i) 95 of the pulsed multilevel voltage signal a_(i), and the control constant μ_(t) are the inputs to the adaptive timing loop circuit 150. The adaptive timing loop circuit 150 has a delay element 300 that receives the error signal e_(i) 155. The delay element 300 delays the error signal by the time equal to the period of the sampling clock of the analog-to-digital converter 15. The delayed error signal e_(i−1) 302 and the estimated pulsed multilevel voltage signal â_(i) 95 are the inputs to the multiplier circuit 305. The output of the multiplier circuit 305 is the product of the delayed error signal e_(i−1) 302 and the estimated pulsed multilevel voltage signal â_(i) 95. The inputs of the multiplier circuit 310 is the gain constant μ_(t) 165 and the output of the multiplier circuit 305. The output of the multiplier circuit 310 is the product of the gain constant μ_(t) and the output of the multiplier circuit 305.

The inputs of the combining circuit 315 are the output of the multiplier circuit 310 and the current value of the timing phase adjustment signal φ_(samp) 20. The combining circuit 315 subtractively combines the current value timing phase adjustment signal φ_(samp) 20 and the output of the multiplier circuit 310 to form the next value of the timing phase adjustment signal φ_(sampn+1) 317. The delay element 320 delays the next value of the timing phase adjustment signal φ_(sampn+1) 317 to adjust the timing phase of the next sampling clock sufficiently to remove the first precursor intersymbol interference from the received pulsed multilevel voltage signal a_(irec) 12.

It is well-known in the art that, while the above describes individual circuitry to implement an apparatus that removes the precursor intersymbol interference from the received pulsed multilevel voltage signal, the apparatus may be implemented as a program code for execution on a computational processor. The program code maybe obtained from media such as storage nodes of an internal or external network or stored on a storage media such as read only memory (ROM) or a magnetic disk. Further, the apparatus that will remove the precursor intersymbol interference may be implemented as analog filters using continuous time processing.

In summary, the method for removing precursor intersymbol interference from a sampled, received, and digitized multilevel voltage signal, as shown in FIGS. 6 a–6 c, begins by adjusting a timing phase 400 of the sampling clock to remove a first precursor symbol interference from the precursor intersymbol interferences. After the timing phase is adjusted the method continues by filtering 450 any remaining precursor symbols of the precursor intersymbol interference with an open loop finite impulse response filter having a filter coefficient that is a function of a fixed gain parameter that is indicative of a condition of the communication channel.

The adjusting the timing phase 400 of the sampling clock begins by delaying 405 an error signal by one sampling period of the sampling clock. The error signal is a difference between an estimate of data transmitted on the communication channel and an equalized version of the received and sampled encoded signal and is indicative of an amount of the first precursor symbol interference. The adjusting of the timing phase 400 continues by multiplying 410 the estimate of the transmitted data by the error signal to form a first product. The first product is then further multiplied 415 by a loop gain control constant to form a second product. The second product is then subtractively combined 420 with a current timing phase adjustment to form a next timing phase adjustment. The next timing phase adjustment is then delayed 425 to align with a next sampling clock. The generating a next sample phase adjustment according to the formula of EQ. 8.

The filtering 450 any remaining precursor symbol interference is accomplished by first delaying 455 by one period of the sampling clock the encoded signal that is received and sampled and then multiplying 475 the encoded signal that is received and sampled by a filter coefficient to form a fourth product. The fourth product is then additively combined 480 with a previous sample of the encoded signal to form a preliminary equalized signal. The preliminary equalized signal is then multiplied 485 by a constant gain factor to produce a signal having the precursor intersymbol interference removed. The constant gain factor is set 460, 465 as a function of the channel condition as indicated by the error signal e_(i) and the filter coefficient is a mapping 470 of the constant gain factor. This filtering of any remaining precursor symbol interference is accomplished such that the encoded signal that is received and sampled with the phase adjusted sampling clock is modified according to the formula of EQ. 9

While this invention has been particularly shown and described with reference to the preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made without departing from the spirit and scope of the invention. 

1. A circuit for canceling precursor intersymbol interference from a received signal comprising: an analog to digital converter responsive to the received signal and having a sampling clock; an adaptive timing loop circuit to adjust a timing phase of said sampling clock so configured to remove a first precursor intersymbol interference from said signal, wherein said adaptive timing loop circuit comprises: a first delay element responsive to an error signal; a first multiplier circuit responsive to said first delay element and an estimate signal; a second multiplier circuit responsive to a loop gain control constant and said first multiplier circuit; a first summing circuit; and a second delay element responsive to said summing circuit, wherein said summing circuit is responsive to said second multiplier and said second delay element; and an open loop finite impulse response filter in communication with an output of said analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference.
 2. A circuit for canceling precursor intersymbol interference from a received signal comprising: an analog to digital converter responsive to the received signal and having a sampling clock; an adaptive timing loop circuit to adjust a timing phase of said sampling clock so configured to remove a first precursor intersymbol interference from said signal, wherein said adaptive timing loop circuit adjusts the timing phase of said sampling clock according to the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1)) wherein: Φ_(sampn+1) is the timing phase adjustment for a next sample h_(n+1) from said analog-to-digital converter, Φ_(sampn) is a timing phase adjustment for a current sample h_(n) from said analog-to-digital converter, μ_(t) is a control constant, e_(i−1) is the error signal for a previous sample; and an open loop finite impulse response filter in communication with an output of said analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference.
 3. A circuit for canceling precursor intersymbol interference from a received signal comprising: an analog to digital converter responsive to the received signal and having a sampling clock; an adaptive timing loop circuit to adjust a timing phase of said sampling clock so configured to remove a first precursor intersymbol interference from said signal; and an open loop finite impulse response filter in communication with an output of said analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein said open loop finite impulse response filter comprises: a feed forward filter responsive to said analog-to-digital converter and configured to generate an output signal according to the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w⁻¹) wherein:  f_(k) is a digitized and sampled pulsed multilevel voltage signal,  A_(v) is a gain constant of the gain block,  h_(k) is a present sampled and digitized received pulsed multilevel voltage signal,  h_(k+1) is a next sampled and digitized received pulsed multilevel voltage signal,  w⁻¹ is a filter coefficient mapped from the gain constant A_(v).
 4. A circuit for canceling precursor intersymbol interference from a received signal comprising: an analog to digital converter responsive to the received signal and having a sampling clock; an adaptive timing loop circuit to adjust a timing phase of said sampling clock so configured to remove a first precursor intersymbol interference from said signal; and an open loop finite impulse response filter in communication with an output of said analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein said open loop finite impulse response filter comprises: a feed forward filter comprising: a first delay element responsive to said analog-to-digital converter, a first multiplier circuit, and a first summing circuit responsive to said first delay element and said first multiplier circuit; a second multiplier circuit; a gain setting circuit responsive to said second multiplier circuit, wherein said second multiplier circuit is responsive to said first summing circuit and said gain setting circuit; and a gain mapping circuit responsive to said gain setting circuit, wherein said first multiplier circuit is responsive to said gain mapping circuit and said analog-to-digital converter.
 5. The circuit of claim 4 wherein said gain setting circuit establishes the gain constant factor according to the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k) wherein: G_(k) is a current value of a gain constant factor at an output of said gain setting circuit, G_(k−1) is a previous value of the constant factor at an output of said gain setting circuit, μ_(FF) is a small positive constant, f_(k) is a digitized and sampled pulsed multilevel voltage signal, e_(i) is an error signal indicating a condition of a communication channel and is a difference between an estimate of the transmitted data and an equalized version of received data indicative of an amount of the first precursor intersymbol interference.
 6. The circuit of claim 4 wherein said gain setting circuit comprises: a third multiplier circuit responsive to an error signal, said second multiplier circuit, and a gain constant; a second delay element; and a second summing circuit responsive to said second delay element and said third multiplier circuit, wherein said second delay element is responsive to said second summing circuit.
 7. The circuit of claim 5 whereby the gain constant is sufficiently small to insure stability of said gain setting circuit and sufficiently large so as to track variations in the condition measurement.
 8. A communication system to transfer data via a communication channel comprising: a first transceiver comprising: a first transmitter in communication with the communication channel, and a first receiver in communication with the communication channel comprising: a first analog to digital converter responsive to a signal received by said first receiver and having a first sampling clock; a first adaptive timing loop circuit to adjust a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver; and a first open loop finite impulse response filter in communication with an output of said first analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: a second transmitter in communication with said communication channel, and a second receiver in communication with the communication channel comprising: a second analog to digital converter responsive to a signal received by said second receiver and having a second sampling clock; a second adaptive timing loop circuit to adjust a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver; and a second open loop finite impulse response filter in communication with an output of said second analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second adaptive timing loop circuits comprises: a first delay element responsive to an error signal; a first multiplier circuit responsive to said first delay element and an estimate signal; a second multiplier circuit responsive to a loop gain control constant and said first multiplier circuit; a first summing circuit; and a second delay element responsive to said summing circuit, wherein said summing circuit is responsive to said second multiplier and said second delay element.
 9. A communication system to transfer data via a communication channel comprising: a first transceiver comprising: a first transmitter in communication with the communication channel, and a first receiver in communication with the communication channel comprising: a first analog to digital converter responsive to a signal received by said first receiver and having a first sampling clock; a first adaptive timing loop circuit to adjust a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver; and a first open loop finite impulse response filter in communication with an output of said first analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: a second transmitter in communication with said communication channel, and a second receiver in communication with the communication channel comprising: a second analog to digital converter responsive to a signal received by said second receiver and having a second sampling clock; a second adaptive timing loop circuit to adjust a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver; and a second open loop finite impulse response filter in communication with an output of said second analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second said adaptive timing loop circuits adjusts the timing phase of said sampling clock according to the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1)) wherein: Φ_(sampn+1) is the timing phase adjustment for a next sample h_(n+1) from said analog-to-digital converter, Φ_(sampn) is a timing phase adjustment for a current sample h_(n) from said analog-to-digital converter, μ_(t) is a control constant e_(i−1) is the error signal for a previous sample.
 10. A communication system to transfer data via a communication channel comprising: a first transceiver comprising: a first transmitter in communication with the communication channel, and a first receiver in communication with the communication channel comprising: a first analog to digital converter responsive to a signal received by said first receiver and having a first sampling clock; a first adaptive timing loop circuit to adjust a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver; and a first open loop finite impulse response filter in communication with an output of said first analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: a second transmitter in communication with said communication channel, and a second receiver in communication with the communication channel comprising: a second analog to digital converter responsive to a signal received by said second receiver and having a second sampling clock; a second adaptive timing loop circuit to adjust a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver; and a second open loop finite impulse response filter in communication with an output of said second analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second open loop finite impulse response filters comprises: a feed forward filter responsive to said analog-to-digital converter and configured to generate an output signal according to the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w⁻¹) wherein:  f_(k) is a digitized and sampled pulsed multilevel voltage signal,  A_(v) is a gain constant of the gain block,  h_(k) is a present sampled and digitized received pulsed multilevel voltage signal,  h_(k+1) is a next sampled and digitized received pulsed multilevel voltage signal,  w⁻¹ is a filter coefficient mapped from the gain constant A_(v).
 11. A communication system to transfer data via a communication channel comprising: a first transceiver comprising: a first transmitter in communication with the communication channel, and a first receiver in communication with the communication channel comprising: a first analog to digital converter responsive to a signal received by said first receiver and having a first sampling clock; a first adaptive timing loop circuit to adjust a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver; and a first open loop finite impulse response filter in communication with an output of said first analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: a second transmitter in communication with said communication channel, and a second receiver in communication with the communication channel comprising: a second analog to digital converter responsive to a signal received by said second receiver and having a second sampling clock; a second adaptive timing loop circuit to adjust a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver; and a second open loop finite impulse response filter in communication with an output of said second analog-to-digital converter having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second open loop finite impulse response filters comprises: a feed forward filter comprising: a first delay element responsive to said analog-to-digital converter, a first multiplier circuit, and a first summing circuit responsive to said first delay element and said first multiplier circuit; a second multiplier circuit; a gain setting circuit responsive to said second multiplier circuit, wherein said second multiplier circuit is responsive to said first summing circuit and said gain setting circuit; and a gain mapping circuit responsive to said gain setting circuit, wherein said first multiplier circuit is responsive to said gain mapping circuit and said analog-to-digital converter.
 12. The communication system of claim 11, wherein said gain setting circuit establishes the gain constant factor according to the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k) wherein: G_(k) is a current value of a gain constant factor at an output of said gain setting circuit, G_(k−1) is a previous value of the constant factor at an output of said gain setting circuit, μ_(FF) is a small positive constant, f_(k) is a digitized and sampled pulsed multilevel voltage signal, e_(i) is an error signal indicating a condition of a communication channel and is a difference between an estimate of the transmitted data and an equalized version of received data indicative of an amount of the first precursor intersymbol interference.
 13. The communication system of claim 11, wherein said gain setting circuit comprises: a third multiplier circuit responsive to an error signal, said second multiplier circuit, and a gain constant; a second delay element; and a second summing circuit responsive to said second delay element and said third multiplier circuit, wherein said second delay element is responsive to said second summing circuit.
 14. The communication system of claim 12, wherein the gain constant is sufficiently small to insure stability of said gain setting circuit and sufficiently large so as to track variations in the condition measurement.
 15. A circuit for canceling precursor intersymbol interference from a received signal comprising: analog to digital converter means for converting the received analog signal to a digital signal and having a sampling clock; adaptive timing loop means for adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal, wherein said adaptive timing loop means comprises: first delay means for delaying an error signal; first multiplier means for multiplying an output of said first delay means by an estimate signal; second multiplier means for multiplying a loop gain control constant by an output of said first multiplier means; first summing means; and second delay means for delay an output of said summing circuit, wherein said summing circuit adds an output of said second multiplier to an output of said second delay means; and open loop finite impulse response filter means for filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference.
 16. A circuit for canceling precursor intersymbol interference from a received signal comprising: analog to digital converter means for converting the received analog signal to a digital signal and having a sampling clock; adaptive timing loop means for adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal, wherein said adaptive timing loop means adjusts the timing phase of said sampling clock according to the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1)) wherein: Φ_(sampn+1) is the timing phase adjustment for a next sample h_(n+1) from said analog-to-digital converter means, Φ_(sampn) is a timing phase adjustment for a current sample h_(n) from said analog-to-digital converter means, μ_(t) is a control constant, e_(i−1) is the error signal for a previous sample; and open loop finite impulse response filter means for filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference.
 17. A circuit for canceling precursor intersymbol interference from a received signal comprising: analog to digital converter means for converting the received analog signal to a digital signal and having a sampling clock; adaptive timing loop means for adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and open loop finite impulse response filter means for filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein said open loop finite impulse response filter means comprises: feed forward filter means for filtering the output of said analog-to-digital converter means and configured to generate an output signal according to the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w⁻¹) wherein:  f_(k) is a digitized and sampled pulsed multilevel voltage signal,  A_(v) is a gain constant of the gain block,  h_(k) is a present sampled and digitized received pulsed multilevel voltage signal,  h_(k+1) is a next sampled and digitized received pulsed multilevel voltage signal,  w⁻¹ is a filter means coefficient mapped from the gain constant A_(v).
 18. A circuit for canceling precursor intersymbol interference from a received signal comprising: analog to digital converter means for converting the received analog signal to a digital signal and having a sampling clock; adaptive timing loop means for adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and open loop finite impulse response filter means for filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein said open loop finite impulse response filter means comprises: feed forward filter means comprising: first delay means for delaying the output of said analog-to-digital converter means, first multiplier means, and first summing means for adding an output of said first delay means and an output of said first multiplier means; a second multiplier means; gain setting means for setting a gain in response to said second multiplier means, wherein said second multiplier means multiplies an output of said first summing means by an output of said gain setting means; and gain mapping means for mapping a gain in response to said gain setting means, wherein said first multiplier means multiplies an output of said gain mapping means by the output of said analog-to-digital converter means.
 19. The circuit of claim 18 wherein said gain setting means establishes the gain constant factor according to the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k) wherein: G_(k) is a current value of a gain constant factor at an output of said gain setting means, G_(k−1) is a previous value of the constant factor at an output of said gain setting means, μ_(FF) is a small positive constant, f_(k) is a digitized and sampled pulsed multilevel voltage signal, e_(i) is an error signal indicating a condition of a communication channel and is a difference between an estimate of the transmitted data and an equalized version of received data indicative of an amount of the first precursor intersymbol interference.
 20. The circuit of claim 18 wherein said gain setting means comprises: third multiplier means for multiplying an error signal, said second multiplier means, and a gain constant; second delay means; and second summing means for adding an output of said second delay means to an output of said third multiplier means, wherein said second delay means delays an output said second summing means.
 21. The circuit of claim 19 whereby the gain constant is sufficiently small to insure stability of said gain setting means and sufficiently large so as to track variations in the condition measurement.
 22. A communication system to transfer data via a communication channel comprising: a first transceiver comprising first transmitter means for transmitting a signal in communication with the communication channel, and first receiver means for receiving a signal in communication with the communication channel comprising: first analog to digital converter means for converting the signal received by said first receiver means to a digital signal and having a first sampling clock; first adaptive timing loop means for adjusting a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver means; and first open loop finite impulse response filter means for filtering an output of said first analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver means to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: second transmitter means for transmitting a signal in communication with said communication channel, and second receiver means for receiving a signal in communication with the communication channel comprising: second analog to digital converter for converting the signal received by said second receiver means and having a second sampling clock; a second adaptive timing loop means for adjusting a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver means; and second open loop finite impulse response filter means for filtering an output of said second analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver means to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second adaptive timing loop means comprises: first delay means for delaying an error signal; first multiplier means for multiplying an output of said first delay means by an estimate signal; second multiplier means for multiplying a loop gain control constant by an output of said first multiplier means; first summing means; and second delay means for delaying an output of said summing means, wherein said summing means adds an output of said second multiplier to an output of said second delay means.
 23. A communication system to transfer data via a communication channel comprising: a first transceiver comprising first transmitter means for transmitting a signal in communication with the communication channel, and first receiver means for receiving a signal in communication with the communication channel comprising: first analog to digital converter means for converting the signal received by said first receiver means to a digital signal and having a first sampling clock; first adaptive timing loop means for adjusting a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver means; and first open loop finite impulse response filter means for filtering an output of said first analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver means to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: second transmitter means for transmitting a signal in communication with said communication channel, and second receiver means for receiving a signal in communication with the communication channel comprising: second analog to digital converter for converting the signal received by said second receiver means and having a second sampling clock; a second adaptive timing loop means for adjusting a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver means; and second open loop finite impulse response filter means for filtering an output of said second analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver means to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second said adaptive timing loop means adjusts the timing phase of said sampling clock according to the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1)) wherein: Φ_(sampn+1) is the timing phase adjustment for a next sample h_(n+1) from said analog-to-digital converter means, Φ_(sampn) is a timing phase adjustment for a current sample h_(n) from said analog-to-digital converter means, μ_(t) is a control constant, e_(i−1) is the error signal for a previous sample.
 24. A communication system to transfer data via a communication channel comprising: a first transceiver comprising first transmitter means for transmitting a signal in communication with the communication channel, and first receiver means for receiving a signal in communication with the communication channel comprising: first analog to digital converter means for converting the signal received by said first receiver means to a digital signal and having a first sampling clock; first adaptive timing loop means for adjusting a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver means; and first open loop finite impulse response filter means for filtering an output of said first analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver means to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: second transmitter means for transmitting a signal in communication with said communication channel, and second receiver means for receiving a signal in communication with the communication channel comprising: second analog to digital converter for converting the signal received by said second receiver means and having a second sampling clock; a second adaptive timing loop means for adjusting a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver means; and second open loop finite impulse response filter means for filtering an output of said second analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver means to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second open loop finite impulse response filter means comprises: feed forward filter means for filtering an output of said analog-to-digital converter means and configured to generate an output signal according to the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w⁻¹) wherein:  f_(k) is a digitized and sampled pulsed multilevel voltage signal,  A_(v) is a gain constant of the gain block,  h_(k) is a present sampled and digitized received pulsed multilevel voltage signal,  h_(k+1) is a next sampled and digitized received pulsed multilevel voltage signal,  w⁻¹ is a filter means coefficient mapped from the gain constant A_(v).
 25. A communication system to transfer data via a communication channel comprising: a first transceiver comprising first transmitter means for transmitting a signal in communication with the communication channel, and first receiver means for receiving a signal in communication with the communication channel comprising: first analog to digital converter means for converting the signal received by said first receiver means to a digital signal and having a first sampling clock; first adaptive timing loop means for adjusting a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver means; and first open loop finite impulse response filter means for filtering an output of said first analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said first receiver means to remove all precursor intersymbol interference except for the first precursor intersymbol interference; and a second transceiver comprising: second transmitter means for transmitting a signal in communication with said communication channel, and second receiver means for receiving a signal in communication with the communication channel comprising: second analog to digital converter for converting the signal received by said second receiver means and having a second sampling clock; a second adaptive timing loop means for adjusting a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver means; and second open loop finite impulse response filter means for filtering an output of said second analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the signal received by said second receiver means to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein each of said first and second open loop finite impulse response filter means comprises: feed forward filter means comprising: first delay means for delaying the output said analog-to-digital converter means, first multiplier means, and a first summing means for adding an output said first delay means to an output of said first multiplier means; second multiplier means; gain setting means for setting a gain responsive to said second multiplier means, wherein said second multiplier means multiplies an output of said first summing means to an output of said gain setting means; and gain mapping means for gain mapping in response to said gain setting means, wherein said first multiplier means multiplies an output of said gain mapping means by the output of said analog-to-digital converter means.
 26. The communication system of claim 25, wherein said gain setting means establishes the gain constant factor according to the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k) wherein: G_(k) is a current value of a gain constant factor at an output of said gain setting means, G_(k−1) is a previous value of the constant factor at an output of said gain setting means, μ_(FF) is a small positive constant, f_(k) is a digitized and sampled pulsed multilevel voltage signal, e_(i) is an error signal indicating a condition of a communication channel and is a difference between an estimate of the transmitted data and an equalized version of received data indicative of an amount of the first precursor intersymbol interference.
 27. The communication system of claim 25, wherein said gain setting means comprises: third multiplier means for multiplying an error signal, an output of said second multiplier, and a gain constant; second delay means; and second summing means for adding an output of said second delay means to an output of said third multiplier means, wherein said second delay means delays an output of said second summing means.
 28. The communication system of claim 27, wherein the gain constant is sufficiently small to insure stability of said gain setting means and sufficiently large so as to track variations in the condition measurement.
 29. A method for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (b) comprises the steps of: (d) delaying an error signal; (e) multiplying an output of the delayed error signal by an estimate signal; (f) multiplying a loop gain control constant by an output of step (e); (g) summing an output of step (f to an output of step (h); and (h) delaying an output step (g).
 30. A method for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (b) is performed according to the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1)) wherein: Φ_(sampn+1) is the timing phase adjustment for a next sample h_(n+1) from step (a), Φ_(sampn) is a timing phase adjustment for a current sample h_(n) from step (a), μ_(t) is a control constant, e_(i−1) is the error signal for a previous sample.
 31. A method for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (c) comprises the steps of: feed forward filtering the output of step (a) and configured to generate an output signal according to the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w⁻¹) wherein:  f_(k) is a digitized and sampled pulsed multilevel voltage signal,  A_(v) is a gain constant of the gain block,  h_(k) is a present sampled and digitized received pulsed multilevel voltage signal,  h_(k+1) is a next sampled and digitized received pulsed multilevel voltage signal,  w⁻¹ is a filter means coefficient mapped from the gain constant A_(v).
 32. A method for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (c) comprises the steps of: (i) feed forward filtering comprising the steps of: (j) delaying the output of step (a), (k) multiplying an output of step (j) by an output of step (o), and (l) summing an output of steps (j) to an output of step (k); (m) multiplying an output of step (l) by an output of step (n); (n) setting a gain in response to said fourth multiplier means; (o) mapping a gain in response to said gain setting means.
 33. The method of claim 32 wherein step (n) establishes the gain constant factor according to the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k) wherein: G_(k) is a current value of a gain constant factor at an output of step (n), G_(k−1) is a previous value of the constant factor at an output of step (n), μ_(FF) is a small positive constant, f_(k) is a digitized and sampled pulsed multilevel voltage signal, e_(i) is an error signal indicating a condition of a communication channel and is a difference between an estimate of the transmitted data and an equalized version of received data indicative of an amount of the first precursor intersymbol interference.
 34. The method of claim 32 wherein said gain setting means comprises: (p) multiplying an error signal, an output of step (m), and a gain constant; (q) delaying an output of step (r); and (r) adding an output of step (q) to an output step (p).
 35. The method of claim 34 whereby the gain constant is sufficiently small to insure stability of step (n) and sufficiently large so as to track variations in the condition measurement.
 36. A computer program embodied in a medium for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (b) comprises the steps of: (d) delaying an error signal; (e) multiplying an output of the delayed error signal by an estimate signal; (f) multiplying a loop gain control constant by an output of step (e); (g) summing an output of step (f) to an output of step (h); and (h) delaying an output step (g).
 37. A computer program embodied in a medium for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (b) is performed according to the formula: φ_(sampn+1)=φ_(sampn)−μ_(t)(â _(i) e _(i−1)) wherein: Φ_(sampn+1) is the timing phase adjustment for a next sample h_(n+1) from step (a), Φ_(sampn) is a timing phase adjustment for a current sample h_(n) from step (a), μ_(t) is a control constant, e_(i−1) is the error signal for a previous sample.
 38. A computer program embodied in a medium for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (c) comprises the steps of: feed forward filtering the output of step (a) and configured to generate an output signal according to the formula: f _(k) =A _(v)(h _(k)+(h _(k+1))*w⁻¹) wherein:  f_(k) is a digitized and sampled pulsed multilevel voltage signal,  A_(v) is a gain constant of the gain block,  h_(k) is a present sampled and digitized received pulsed multilevel voltage signal,  h_(k+1) is a next sampled and digitized received pulsed multilevel voltage signal,  w⁻¹ is a filter means coefficient mapped from the gain constant A_(v).
 39. A computer program embodied in a medium for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said analog-to-digital converter means having a coefficient determined by a gain mapping of a condition measurement of the received signal to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein step (c) comprises the steps of: (i) feed forward filtering comprising the steps of: (j) delaying the output of step (a), (k) multiplying an output of step (j) by an output of step (o), and (l) summing an output of steps) to an output of step (k); (m) multiplying an output of step (l) by an output of step (n); (n) setting a gain in response to said fourth multiplier means; and (o) mapping a gain in response to said gain setting means.
 40. The computer program of claim 39 wherein step (n) establishes the gain constant factor according to the formula: G _(k) =G _(k−1)−μ_(FF) e _(i) f _(k) wherein: G_(k) is a current value of a gain constant factor at an output of step (n), G_(k−1) is a previous value of the constant factor at an output of step (n), μ_(FF) is a small positive constant, f_(k) is a digitized and sampled pulsed multilevel voltage signal, e_(i) is an error signal indicating a condition of a communication channel and is a difference between an estimate of the transmitted data and an equalized version of received data indicative of an amount of the first precursor intersymbol interference.
 41. The computer program of claim 39 wherein said gain setting means comprises: (p) multiplying an error signal, an output of step (m), and a gain constant; (q) delaying an output of step (r); and (r) adding an output of step (q) to an output step (p).
 42. The computer program of claim 41 whereby the gain constant is sufficiently small to insure stability of step (n) and sufficiently large so as to track variations in the condition measurement.
 43. A circuit for canceling precursor intersymbol interference from a received signal comprising: an analog to digital converter responsive to the received signal and having a sampling clock; an adaptive timing loop circuit to adjust a timing phase of said sampling clock so configured to remove a first precursor intersymbol interference from said signal; and an open loop finite impulse response filter in communication with an output of said analog-to-digital converter having a coefficient determined by an adaptive gain mapping in accordance with an adaptive gain factor to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein a current value of the adaptive gain factor is based on a previous value of the adaptive gain factor and a combination of a condition measurement of the received signal and an output of the open loop finite impulse response filter.
 44. A communication system to transfer data via a communication channel comprising: a first transceiver comprising a first transmitter in communication with the communication channel, and a first receiver in communication with the communication channel comprising: a first analog to digital converter responsive to a signal received by said first receiver and having a first sampling clock; a first adaptive timing loop circuit to adjust a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver; and a first open loop finite impulse response filter in communication with an output of said first analog-to-digital converter having a coefficient determined by an adaptive gain mapping in accordance with a first adaptive gain factor to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein a current value of the first adaptive gain factor is based on a previous value of the first adaptive gain factor and a combination of a condition measurement of the signal received by said first receiver and an output of the first open loop finite impulse response filter; and a second transceiver comprising: a second transmitter in communication with said communication channel, and a second receiver in communication with the communication channel comprising: a second analog to digital converter responsive to a signal received by said second receiver and having a second sampling clock; a second adaptive timing loop circuit to adjust a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver; and a second open loop finite impulse response filter in communication with an output of said second analog-to-digital converter having a coefficient determined by an adaptive gain mapping in accordance with a second adaptive gain factor to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein a current value of the second adaptive gain factor is based on a previous value of the second adaptive gain factor and a combination of a condition measurement of the signal received by said second receiver and an output of the second open loop finite impulse response filter.
 45. A circuit for canceling precursor intersymbol interference from a received signal comprising: analog to digital converter means for converting the received analog signal to a digital signal and having a sampling clock; adaptive timing loop means for adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and open loop finite impulse response filter means for filtering an output of said analog-to-digital converter means having a coefficient determined by an adaptive gain mapping in accordance with an adaptive gain factor to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein a current value of the adaptive gain factor is based on a previous value of the adaptive gain factor and a combination of a condition measurement of the received signal and an output of the open loop finite impulse response filter.
 46. A communication system to transfer data via a communication channel comprising: a first transceiver comprising first transmitter means for transmitting a signal in communication with the communication channel, and first receiver means for receiving a signal in communication with the communication channel comprising: first analog to digital converter means for converting the signal received by said first receiver means to a digital signal and having a first sampling clock; first adaptive timing loop means for adjusting a timing phase of said first sampling clock so configured to remove a first precursor intersymbol interference from the signal received by said first receiver means; and first open loop finite impulse response filter means for filtering an output of said first analog-to-digital converter means having a coefficient determined by an adaptive gain mapping in accordance with a first adaptive gain factor to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein a current value of the first adaptive gain factor is based on a previous value of the first adaptive gain factor and a combination of a condition measurement of the signal received by said first receiver means and an output of the first open loop finite impulse response filter means; and a second transceiver comprising: second transmitter means for transmitting a signal in communication with said communication channel, and second receiver means for receiving a signal in communication with the communication channel comprising: second analog to digital converter for converting the signal received by said second receiver means and having a second sampling clock; a second adaptive timing loop means for adjusting a timing phase of said second sampling clock so configured to remove a second precursor intersymbol interference from the signal received by said second receiver means; and second open loop finite impulse response filter means for filtering an output of said second analog-to-digital converter means having a coefficient determined by an adaptive gain mapping in accordance with a second adaptive gain factor to remove all precursor intersymbol interference except for the second precursor intersymbol interference, wherein a current value of the second adaptive gain factor is based on a previous value of the second adaptive gain factor and a combination of a condition measurement of the signal received by said second receiver means and an output of the second open loop finite impulse response filter means.
 47. A method for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said step (a) having a coefficient determined by an adaptive gain mapping in accordance with an adaptive gain factor to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein a current value of the adaptive gain factor is based on a previous value of the adaptive gain factor and a combination of a condition measurement of the received signal and an output of the open loop finite impulse response filter.
 48. A computer program embodied in a medium for canceling precursor intersymbol interference from a received signal comprising the steps of: (a) converting the received analog signal to a digital signal and having a sampling clock; (b) adjusting a timing phase of said sampling clock to remove a first precursor intersymbol interference from the signal; and (c) open loop finite impulse response filtering an output of said step (a) having a coefficient determined by an adaptive gain mapping in accordance with an adaptive gain factor to remove all precursor intersymbol interference except for the first precursor intersymbol interference, wherein a current value of the adaptive gain factor is based on a previous value of the adaptive gain factor and a combination of a condition measurement of the received signal and an output of the open loop finite impulse response filter. 